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Simplifying (3x + -8) + -1(7x + 1) = 0 Reorder the terms: (-8 + 3x) + -1(7x + 1) = 0 Remove parenthesis around (-8 + 3x) -8 + 3x + -1(7x + 1) = 0 Reorder the terms: -8 + 3x + -1(1 + 7x) = 0 -8 + 3x + (1 * -1 + 7x * -1) = 0 -8 + 3x + (-1 + -7x) = 0 Reorder the terms: -8 + -1 + 3x + -7x = 0 Combine like terms: -8 + -1 = -9 -9 + 3x + -7x = 0 Combine like terms: 3x + -7x = -4x -9 + -4x = 0 Solving -9 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -4x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 0 + 9 -4x = 0 + 9 Combine like terms: 0 + 9 = 9 -4x = 9 Divide each side by '-4'. x = -2.25 Simplifying x = -2.25
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